Results 11 to 20 of about 21,113 (168)

THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS

open access: yesForum of Mathematics, Sigma, 2016
The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$
BURT TOTARO
doaj   +1 more source

Dieudonné theory via cohomology of classifying stacks

open access: yesForum of Mathematics, Sigma, 2021
We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj   +1 more source

A Cohomology Theory for Commutative Monoids

open access: yesMathematics, 2015
Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension ...
María Calvo-Cervera, Antonio M. Cegarra
doaj   +1 more source

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

open access: yesComptes Rendus. Mathématique, 2023
We replace a ring with a small $\mathbb{C}$-linear category $\mathcal{C}$, seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this category and construct a Chern character taking values in the cyclic ...
Balodi, Mamta, Banerjee, Abhishek
doaj   +1 more source

CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES

open access: yesForum of Mathematics, Sigma, 2014
We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
doaj   +1 more source

A Note on Coeffective 1–Differentiable Cohomology

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
doaj   +1 more source

On the Cohomology of Topological Semigroups

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr   +1 more
doaj   +1 more source

Deformations of Yang-Baxter operators via n-Lie algebra cohomology

open access: yesNuclear Physics B, 2023
We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
doaj   +1 more source

The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

open access: yesElectronic Research Archive, 2022
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu   +2 more
doaj   +1 more source

Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.
Bruno Kahn   +3 more
doaj   +1 more source

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